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41398434 = 232721117251
BaseRepresentation
bin1001110111101…
…1000010100010
32212220020222100
42131323002202
541044222214
64035151230
71011611100
oct235730242
985806870
1041398434
1121406290
1211a45516
13876621c
1456d8c70
15397b309
hex277b0a2

41398434 has 144 divisors (see below), whose sum is σ = 121002336. Its totient is φ = 10080000.

The previous prime is 41398433. The next prime is 41398453. The reversal of 41398434 is 43489314.

41398434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41398433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164809 + ... + 165059.

It is an arithmetic number, because the mean of its divisors is an integer number (840294).

Almost surely, 241398434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41398434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60501168).

41398434 is an abundant number, since it is smaller than the sum of its proper divisors (79603902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41398434 is a wasteful number, since it uses less digits than its factorization.

41398434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 41398434 is about 6434.1614838299. The cubic root of 41398434 is about 345.9351064995.

The spelling of 41398434 in words is "forty-one million, three hundred ninety-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 49 51 63 66 77 98 99 102 119 126 147 153 154 187 198 231 238 251 294 306 357 374 441 462 502 539 561 693 714 753 833 882 1071 1078 1122 1309 1386 1506 1617 1666 1683 1757 2142 2259 2499 2618 2761 3234 3366 3514 3927 4267 4518 4851 4998 5271 5522 7497 7854 8283 8534 9163 9702 10542 11781 12299 12801 14994 15813 16566 18326 19327 23562 24598 24849 25602 27489 29869 31626 36897 38403 38654 46937 49698 54978 57981 59738 73794 76806 82467 89607 93874 110691 115962 135289 140811 164934 173943 179214 209083 221382 268821 270578 281622 328559 347886 405867 418166 422433 537642 627249 657118 811734 844866 985677 1217601 1254498 1881747 1971354 2299913 2435202 2957031 3763494 4599826 5914062 6899739 13799478 20699217 41398434